%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG031-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:48 PM UTC 2026
% Result : Satisfiable 8.68s 3.85s
% Output : FiniteModel 8.68s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('declare_$i5',type,
'fmb_$i_5': $i ).
tff('declare_$i6',type,
'fmb_$i_6': $i ).
tff('declare_$i7',type,
'fmb_$i_7': $i ).
tff('declare_$i8',type,
'fmb_$i_8': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' )
| ( X = 'fmb_$i_5' )
| ( X = 'fmb_$i_6' )
| ( X = 'fmb_$i_7' )
| ( X = 'fmb_$i_8' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_1' != 'fmb_$i_5' )
& ( 'fmb_$i_1' != 'fmb_$i_6' )
& ( 'fmb_$i_1' != 'fmb_$i_7' )
& ( 'fmb_$i_1' != 'fmb_$i_8' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_5' )
& ( 'fmb_$i_2' != 'fmb_$i_6' )
& ( 'fmb_$i_2' != 'fmb_$i_7' )
& ( 'fmb_$i_2' != 'fmb_$i_8' )
& ( 'fmb_$i_3' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_5' )
& ( 'fmb_$i_3' != 'fmb_$i_6' )
& ( 'fmb_$i_3' != 'fmb_$i_7' )
& ( 'fmb_$i_3' != 'fmb_$i_8' )
& ( 'fmb_$i_4' != 'fmb_$i_5' )
& ( 'fmb_$i_4' != 'fmb_$i_6' )
& ( 'fmb_$i_4' != 'fmb_$i_7' )
& ( 'fmb_$i_4' != 'fmb_$i_8' )
& ( 'fmb_$i_5' != 'fmb_$i_6' )
& ( 'fmb_$i_5' != 'fmb_$i_7' )
& ( 'fmb_$i_5' != 'fmb_$i_8' )
& ( 'fmb_$i_6' != 'fmb_$i_7' )
& ( 'fmb_$i_6' != 'fmb_$i_8' )
& ( 'fmb_$i_7' != 'fmb_$i_8' ) ) ).
tff(declare_additive_identity,type,
additive_identity: $i ).
tff(additive_identity_definition,axiom,
additive_identity = 'fmb_$i_1' ).
tff(declare_x,type,
x: $i ).
tff(x_definition,axiom,
x = 'fmb_$i_2' ).
tff(declare_y,type,
y: $i ).
tff(y_definition,axiom,
y = 'fmb_$i_3' ).
tff(declare_add,type,
add: ( $i * $i ) > $i ).
tff(function_add,axiom,
( ( add('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( add('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( add('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( add('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( add('fmb_$i_1','fmb_$i_5') = 'fmb_$i_5' )
& ( add('fmb_$i_1','fmb_$i_6') = 'fmb_$i_6' )
& ( add('fmb_$i_1','fmb_$i_7') = 'fmb_$i_7' )
& ( add('fmb_$i_1','fmb_$i_8') = 'fmb_$i_8' )
& ( add('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( add('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( add('fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( add('fmb_$i_2','fmb_$i_4') = 'fmb_$i_7' )
& ( add('fmb_$i_2','fmb_$i_5') = 'fmb_$i_6' )
& ( add('fmb_$i_2','fmb_$i_6') = 'fmb_$i_5' )
& ( add('fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( add('fmb_$i_2','fmb_$i_8') = 'fmb_$i_3' )
& ( add('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( add('fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( add('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( add('fmb_$i_3','fmb_$i_4') = 'fmb_$i_6' )
& ( add('fmb_$i_3','fmb_$i_5') = 'fmb_$i_7' )
& ( add('fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( add('fmb_$i_3','fmb_$i_7') = 'fmb_$i_5' )
& ( add('fmb_$i_3','fmb_$i_8') = 'fmb_$i_2' )
& ( add('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( add('fmb_$i_4','fmb_$i_2') = 'fmb_$i_7' )
& ( add('fmb_$i_4','fmb_$i_3') = 'fmb_$i_6' )
& ( add('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( add('fmb_$i_4','fmb_$i_5') = 'fmb_$i_8' )
& ( add('fmb_$i_4','fmb_$i_6') = 'fmb_$i_3' )
& ( add('fmb_$i_4','fmb_$i_7') = 'fmb_$i_2' )
& ( add('fmb_$i_4','fmb_$i_8') = 'fmb_$i_5' )
& ( add('fmb_$i_5','fmb_$i_1') = 'fmb_$i_5' )
& ( add('fmb_$i_5','fmb_$i_2') = 'fmb_$i_6' )
& ( add('fmb_$i_5','fmb_$i_3') = 'fmb_$i_7' )
& ( add('fmb_$i_5','fmb_$i_4') = 'fmb_$i_8' )
& ( add('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( add('fmb_$i_5','fmb_$i_6') = 'fmb_$i_2' )
& ( add('fmb_$i_5','fmb_$i_7') = 'fmb_$i_3' )
& ( add('fmb_$i_5','fmb_$i_8') = 'fmb_$i_4' )
& ( add('fmb_$i_6','fmb_$i_1') = 'fmb_$i_6' )
& ( add('fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( add('fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( add('fmb_$i_6','fmb_$i_4') = 'fmb_$i_3' )
& ( add('fmb_$i_6','fmb_$i_5') = 'fmb_$i_2' )
& ( add('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( add('fmb_$i_6','fmb_$i_7') = 'fmb_$i_8' )
& ( add('fmb_$i_6','fmb_$i_8') = 'fmb_$i_7' )
& ( add('fmb_$i_7','fmb_$i_1') = 'fmb_$i_7' )
& ( add('fmb_$i_7','fmb_$i_2') = 'fmb_$i_4' )
& ( add('fmb_$i_7','fmb_$i_3') = 'fmb_$i_5' )
& ( add('fmb_$i_7','fmb_$i_4') = 'fmb_$i_2' )
& ( add('fmb_$i_7','fmb_$i_5') = 'fmb_$i_3' )
& ( add('fmb_$i_7','fmb_$i_6') = 'fmb_$i_8' )
& ( add('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( add('fmb_$i_7','fmb_$i_8') = 'fmb_$i_6' )
& ( add('fmb_$i_8','fmb_$i_1') = 'fmb_$i_8' )
& ( add('fmb_$i_8','fmb_$i_2') = 'fmb_$i_3' )
& ( add('fmb_$i_8','fmb_$i_3') = 'fmb_$i_2' )
& ( add('fmb_$i_8','fmb_$i_4') = 'fmb_$i_5' )
& ( add('fmb_$i_8','fmb_$i_5') = 'fmb_$i_4' )
& ( add('fmb_$i_8','fmb_$i_6') = 'fmb_$i_7' )
& ( add('fmb_$i_8','fmb_$i_7') = 'fmb_$i_6' )
& ( add('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_multiply,type,
multiply: ( $i * $i ) > $i ).
tff(function_multiply,axiom,
( ( multiply('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_6') = 'fmb_$i_4' )
& ( multiply('fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_2','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( multiply('fmb_$i_3','fmb_$i_3') = 'fmb_$i_5' )
& ( multiply('fmb_$i_3','fmb_$i_4') = 'fmb_$i_5' )
& ( multiply('fmb_$i_3','fmb_$i_5') = 'fmb_$i_8' )
& ( multiply('fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_3','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_3','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_5') = 'fmb_$i_4' )
& ( multiply('fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_5','fmb_$i_2') = 'fmb_$i_8' )
& ( multiply('fmb_$i_5','fmb_$i_3') = 'fmb_$i_8' )
& ( multiply('fmb_$i_5','fmb_$i_4') = 'fmb_$i_5' )
& ( multiply('fmb_$i_5','fmb_$i_5') = 'fmb_$i_5' )
& ( multiply('fmb_$i_5','fmb_$i_6') = 'fmb_$i_4' )
& ( multiply('fmb_$i_5','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( multiply('fmb_$i_6','fmb_$i_3') = 'fmb_$i_8' )
& ( multiply('fmb_$i_6','fmb_$i_4') = 'fmb_$i_8' )
& ( multiply('fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
& ( multiply('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( multiply('fmb_$i_6','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_3') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_5') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_6') = 'fmb_$i_4' )
& ( multiply('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( multiply('fmb_$i_7','fmb_$i_8') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( multiply('fmb_$i_8','fmb_$i_2') = 'fmb_$i_5' )
& ( multiply('fmb_$i_8','fmb_$i_3') = 'fmb_$i_5' )
& ( multiply('fmb_$i_8','fmb_$i_4') = 'fmb_$i_8' )
& ( multiply('fmb_$i_8','fmb_$i_5') = 'fmb_$i_8' )
& ( multiply('fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_7') = 'fmb_$i_4' )
& ( multiply('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_additive_inverse,type,
additive_inverse: $i > $i ).
tff(function_additive_inverse,axiom,
( ( additive_inverse('fmb_$i_1') = 'fmb_$i_1' )
& ( additive_inverse('fmb_$i_2') = 'fmb_$i_2' )
& ( additive_inverse('fmb_$i_3') = 'fmb_$i_3' )
& ( additive_inverse('fmb_$i_4') = 'fmb_$i_4' )
& ( additive_inverse('fmb_$i_5') = 'fmb_$i_5' )
& ( additive_inverse('fmb_$i_6') = 'fmb_$i_6' )
& ( additive_inverse('fmb_$i_7') = 'fmb_$i_7' )
& ( additive_inverse('fmb_$i_8') = 'fmb_$i_8' ) ) ).
tff(declare_associator,type,
associator: ( $i * $i * $i ) > $i ).
tff(function_associator,axiom,
( ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_1','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_2','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_3','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_7','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_2','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_2','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_3','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_6','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_7','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_3','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_2','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_3','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_6','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_5') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_7','fmb_$i_8') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_4','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_2','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_3','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_6','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_5') = 'fmb_$i_8' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_7','fmb_$i_8') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_5','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_2','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_3','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_6','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_7','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_6','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_2','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_3','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_7','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_2','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_3','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_6') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_7') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_4','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_6') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_7') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_5','fmb_$i_8') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_2') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_3') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_6','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_2') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_3') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_4') = 'fmb_$i_4' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_5') = 'fmb_$i_5' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_7','fmb_$i_8') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_2') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_4') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_5') = 'fmb_$i_1' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_6') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_7') = 'fmb_$i_8' )
& ( associator('fmb_$i_8','fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
tff(declare_commutator,type,
commutator: ( $i * $i ) > $i ).
tff(function_commutator,axiom,
( ( commutator('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_1','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_3') = 'fmb_$i_8' )
& ( commutator('fmb_$i_2','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_5') = 'fmb_$i_8' )
& ( commutator('fmb_$i_2','fmb_$i_6') = 'fmb_$i_8' )
& ( commutator('fmb_$i_2','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_2','fmb_$i_8') = 'fmb_$i_8' )
& ( commutator('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_2') = 'fmb_$i_8' )
& ( commutator('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_4') = 'fmb_$i_8' )
& ( commutator('fmb_$i_3','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_6') = 'fmb_$i_8' )
& ( commutator('fmb_$i_3','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_3','fmb_$i_8') = 'fmb_$i_8' )
& ( commutator('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_3') = 'fmb_$i_8' )
& ( commutator('fmb_$i_4','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_5') = 'fmb_$i_8' )
& ( commutator('fmb_$i_4','fmb_$i_6') = 'fmb_$i_8' )
& ( commutator('fmb_$i_4','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_4','fmb_$i_8') = 'fmb_$i_8' )
& ( commutator('fmb_$i_5','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_2') = 'fmb_$i_8' )
& ( commutator('fmb_$i_5','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_4') = 'fmb_$i_8' )
& ( commutator('fmb_$i_5','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_6') = 'fmb_$i_8' )
& ( commutator('fmb_$i_5','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_5','fmb_$i_8') = 'fmb_$i_8' )
& ( commutator('fmb_$i_6','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_2') = 'fmb_$i_8' )
& ( commutator('fmb_$i_6','fmb_$i_3') = 'fmb_$i_8' )
& ( commutator('fmb_$i_6','fmb_$i_4') = 'fmb_$i_8' )
& ( commutator('fmb_$i_6','fmb_$i_5') = 'fmb_$i_8' )
& ( commutator('fmb_$i_6','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_6','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_2') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_3') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_4') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_5') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_7','fmb_$i_8') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_1') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_2') = 'fmb_$i_8' )
& ( commutator('fmb_$i_8','fmb_$i_3') = 'fmb_$i_8' )
& ( commutator('fmb_$i_8','fmb_$i_4') = 'fmb_$i_8' )
& ( commutator('fmb_$i_8','fmb_$i_5') = 'fmb_$i_8' )
& ( commutator('fmb_$i_8','fmb_$i_6') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_7') = 'fmb_$i_1' )
& ( commutator('fmb_$i_8','fmb_$i_8') = 'fmb_$i_1' ) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG031-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:02:03 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.86/2.84 % (3506403)Will run a generic schedule for satisfiability detection.
% 16.86/2.84 % (3506409)% WARNING: option uhcvi not known.
% 16.86/2.84 % (3506409)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4058375724:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.86/2.84 % (3506408)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=819561310_2999 on theBenchmark for (2999ds/0Mi)
% 16.86/2.84 % (3506412)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=547421371:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.86/2.84 % (3506410)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2850568539:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.86/2.84 % (3506411)dis+10_1_sil=32000:sp=arity:random_seed=1093556920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.86/2.84 % (3506414)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3795460190:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.86/2.84 % (3506413)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1605701141:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.86/2.84 % TRYING [1]
% 16.86/2.84 % TRYING [2]
% 16.86/2.84 % TRYING [3]
% 16.86/2.84 % TRYING [4]
% 16.86/2.84 % TRYING [5]
% 16.86/2.84 % (3506411)Instruction limit reached!
% 16.86/2.84 % (3506411)------------------------------
% 16.86/2.84 % (3506411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.86/2.84 % (3506411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/2.84 % (3506411)CaDiCaL version: 2.1.3
% 16.86/2.84 % (3506411)Termination reason: Instruction limit
% 16.86/2.84 % (3506411)Termination phase: Saturation
% 16.86/2.84 % (3506411)Time elapsed: 0.058 s
% 16.86/2.84 % (3506411)Peak memory usage: 12 MB
% 16.86/2.84 % (3506411)Instructions burned: 104 (million)
% 16.86/2.84 % (3506413)Instruction limit reached!
% 16.86/2.84 % (3506413)------------------------------
% 16.86/2.84 % (3506413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.86/2.84 % (3506413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/2.84 % (3506413)CaDiCaL version: 2.1.3
% 16.86/2.84 % (3506413)Termination reason: Instruction limit
% 16.86/2.84 % (3506413)Termination phase: Saturation
% 16.86/2.84 % (3506413)Time elapsed: 0.060 s
% 16.86/2.84 % (3506413)Peak memory usage: 11 MB
% 16.86/2.84 % (3506413)Instructions burned: 132 (million)
% 16.86/2.84 % (3506412)Instruction limit reached!
% 16.86/2.84 % (3506412)------------------------------
% 16.86/2.84 % (3506412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.86/2.84 % (3506412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/2.84 % (3506412)CaDiCaL version: 2.1.3
% 16.86/2.84 % (3506412)Termination reason: Instruction limit
% 16.86/2.84 % (3506412)Termination phase: Saturation
% 16.86/2.84 % (3506412)Time elapsed: 0.069 s
% 16.86/2.84 % (3506412)Peak memory usage: 12 MB
% 16.86/2.84 % (3506412)Instructions burned: 117 (million)
% 16.86/2.84 % (3506422)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1665727070:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.86/2.84 % (3506423)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3921591295:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 16.86/2.84 % TRYING [1]
% 16.86/2.84 % TRYING [2]
% 16.86/2.84 % TRYING [3]
% 16.86/2.84 % (3506424)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2267748710:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.86/2.84 % TRYING [4]
% 16.86/2.84 % TRYING [6]
% 16.86/2.84 % (3506414)Instruction limit reached!
% 16.86/2.84 % (3506414)------------------------------
% 16.86/2.84 % (3506414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.86/2.84 % (3506414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.86/2.84 % (3506414)CaDiCaL version: 2.1.3
% 16.86/2.84 % (3506414)Termination reason: Instruction limit
% 16.86/2.84 % (3506414)Termination phase: Saturation
% 16.86/2.84 % (3506414)Time elapsed: 0.096 s
% 16.86/2.84 % (3506414)Peak memory usage: 13 MB
% 16.86/2.84 % (3506414)Instructions burned: 160 (million)
% 16.86/2.84 % (3506428)ott-21_1_sil=16000:fs=off:random_seed=151246026:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.86/2.84 % TRYING [5]
% 16.86/2.84 % (3506423)Instruction limit reached!
% 16.86/2.84 % (3506423)------------------------------
% 16.86/2.84 % (3506423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506423)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506423)Termination reason: Instruction limit
% 8.68/3.85 % (3506423)Termination phase: Saturation
% 8.68/3.85 % (3506423)Time elapsed: 0.082 s
% 8.68/3.85 % (3506423)Peak memory usage: 12 MB
% 8.68/3.85 % (3506423)Instructions burned: 132 (million)
% 8.68/3.85 % (3506430)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4159531388:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 8.68/3.85 % (3506428)Instruction limit reached!
% 8.68/3.85 % (3506428)------------------------------
% 8.68/3.85 % (3506428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506428)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506428)Termination reason: Instruction limit
% 8.68/3.85 % (3506428)Termination phase: Saturation
% 8.68/3.85 % (3506428)Time elapsed: 0.075 s
% 8.68/3.85 % (3506428)Peak memory usage: 12 MB
% 8.68/3.85 % (3506428)Instructions burned: 182 (million)
% 8.68/3.85 % (3506432)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=142423578:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.68/3.85 % TRYING [1]
% 8.68/3.85 % TRYING [2]
% 8.68/3.85 % TRYING [3]
% 8.68/3.85 % TRYING [4]
% 8.68/3.85 % TRYING [6]
% 8.68/3.85 % TRYING [5]
% 8.68/3.85 % TRYING [7]
% 8.68/3.85 % TRYING [6]
% 8.68/3.85 % (3506424)Instruction limit reached!
% 8.68/3.85 % (3506424)------------------------------
% 8.68/3.85 % (3506424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506424)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506424)Termination reason: Instruction limit
% 8.68/3.85 % (3506424)Termination phase: Saturation
% 8.68/3.85 % (3506424)Time elapsed: 0.320 s
% 8.68/3.85 % (3506424)Peak memory usage: 15 MB
% 8.68/3.85 % (3506424)Instructions burned: 685 (million)
% 8.68/3.85 % (3506430)Instruction limit reached!
% 8.68/3.85 % (3506430)------------------------------
% 8.68/3.85 % (3506430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506430)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506430)Termination reason: Instruction limit
% 8.68/3.85 % (3506430)Termination phase: Saturation
% 8.68/3.85 % (3506430)Time elapsed: 0.233 s
% 8.68/3.85 % (3506430)Peak memory usage: 14 MB
% 8.68/3.85 % (3506430)Instructions burned: 477 (million)
% 8.68/3.85 % (3506422)Instruction limit reached!
% 8.68/3.85 % (3506422)------------------------------
% 8.68/3.85 % (3506422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506422)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506422)Termination reason: Instruction limit
% 8.68/3.85 % (3506422)Termination phase: Finite model building SAT solving
% 8.68/3.85 % (3506422)Time elapsed: 0.347 s
% 8.68/3.85 % (3506422)Peak memory usage: 26 MB
% 8.68/3.85 % (3506422)Instructions burned: 715 (million)
% 8.68/3.85 % (3506434)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1452407540:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 8.68/3.85 % (3506435)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=971648271:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.68/3.85 % (3506437)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2452547186:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 8.68/3.85 % (3506432)Instruction limit reached!
% 8.68/3.85 % (3506432)------------------------------
% 8.68/3.85 % (3506432)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506432)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506432)Termination reason: Instruction limit
% 8.68/3.85 % (3506432)Termination phase: Finite model building SAT solving
% 8.68/3.85 % (3506432)Time elapsed: 0.329 s
% 8.68/3.85 % (3506432)Peak memory usage: 23 MB
% 8.68/3.85 % (3506432)Instructions burned: 866 (million)
% 8.68/3.85 % TRYING [14]
% 8.68/3.85 % (3506440)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1645850527:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.68/3.85 % (3506435)Instruction limit reached!
% 8.68/3.85 % (3506435)------------------------------
% 8.68/3.85 % (3506435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506435)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506435)Termination reason: Instruction limit
% 8.68/3.85 % (3506435)Termination phase: Finite model building constraint generation
% 8.68/3.85 % (3506435)Time elapsed: 0.341 s
% 8.68/3.85 % (3506435)Peak memory usage: 81 MB
% 8.68/3.85 % (3506435)Instructions burned: 891 (million)
% 8.68/3.85 % (3506442)fmb+10_1_sil=64000:random_seed=4078293989:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 8.68/3.85 % TRYING [1]
% 8.68/3.85 % TRYING [2]
% 8.68/3.85 % TRYING [3]
% 8.68/3.85 % (3506437)Instruction limit reached!
% 8.68/3.85 % (3506437)------------------------------
% 8.68/3.85 % (3506437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506437)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506437)Termination reason: Instruction limit
% 8.68/3.85 % (3506437)Termination phase: Saturation
% 8.68/3.85 % (3506437)Time elapsed: 0.371 s
% 8.68/3.85 % (3506437)Peak memory usage: 17 MB
% 8.68/3.85 % (3506437)Instructions burned: 692 (million)
% 8.68/3.85 % TRYING [4]
% 8.68/3.85 % (3506444)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=916719641:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 8.68/3.85 % TRYING [20]
% 8.68/3.85 % TRYING [5]
% 8.68/3.85 % TRYING [6]
% 8.68/3.85 % (3506440)Instruction limit reached!
% 8.68/3.85 % (3506440)------------------------------
% 8.68/3.85 % (3506440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506440)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506440)Termination reason: Instruction limit
% 8.68/3.85 % (3506440)Termination phase: Saturation
% 8.68/3.85 % (3506440)Time elapsed: 0.431 s
% 8.68/3.85 % (3506440)Peak memory usage: 16 MB
% 8.68/3.85 % (3506440)Instructions burned: 880 (million)
% 8.68/3.85 % (3506434)Instruction limit reached!
% 8.68/3.85 % (3506434)------------------------------
% 8.68/3.85 % (3506434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506434)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506434)Termination reason: Instruction limit
% 8.68/3.85 % (3506434)Termination phase: Saturation
% 8.68/3.85 % (3506434)Time elapsed: 0.568 s
% 8.68/3.85 % (3506434)Peak memory usage: 16 MB
% 8.68/3.85 % (3506434)Instructions burned: 1180 (million)
% 8.68/3.85 % (3506446)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2448634647:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.68/3.85 % (3506447)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=523981420:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.68/3.85 % TRYING [8]
% 8.68/3.85 % TRYING [7]
% 8.68/3.85 % (3506446)Instruction limit reached!
% 8.68/3.85 % (3506446)------------------------------
% 8.68/3.85 % (3506446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506446)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506446)Termination reason: Instruction limit
% 8.68/3.85 % (3506446)Termination phase: Finite model building SAT solving
% 8.68/3.85 % (3506446)Time elapsed: 0.384 s
% 8.68/3.85 % (3506446)Peak memory usage: 61 MB
% 8.68/3.85 % (3506446)Instructions burned: 921 (million)
% 8.68/3.85 % (3506450)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2058040590:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 8.68/3.85 % TRYING [8]
% 8.68/3.85 % (3506450)Instruction limit reached!
% 8.68/3.85 % (3506450)------------------------------
% 8.68/3.85 % (3506450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.85 % (3506450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.85 % (3506450)CaDiCaL version: 2.1.3
% 8.68/3.85 % (3506450)Termination reason: Instruction limit
% 8.68/3.85 % (3506450)Termination phase: Saturation
% 8.68/3.85 % (3506450)Time elapsed: 0.931 s
% 8.68/3.85 % (3506450)Peak memory usage: 37 MB
% 8.68/3.85 % (3506450)Instructions burned: 1473 (million)
% 8.68/3.85 % (3506452)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4137854798:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 8.68/3.85 % TRYING [77]
% 8.68/3.85 % TRYING [8]
% 8.68/3.85 % Finite Model Found!
% 8.68/3.85 % SZS status Satisfiable for theBenchmark
% 8.68/3.85 % (3506408) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3506403-3506408"...
% 8.68/3.85 % (3506408)...printing done.
% 8.68/3.85 % SZS output start FiniteModel for theBenchmark
% See solution above
% 8.68/3.86 % (3506408)------------------------------
% 8.68/3.86 % (3506408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/3.86 % (3506408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/3.86 % (3506408)CaDiCaL version: 2.1.3
% 8.68/3.86 % (3506408)Termination reason: Satisfiable
% 8.68/3.86 % (3506408)Time elapsed: 3.315 s
% 8.68/3.86 % (3506408)Peak memory usage: 78 MB
% 8.68/3.86 % (3506408)Instructions burned: 5773 (million)
% 8.68/3.86 % (3506403)Success in time 3.435 s
% 8.68/3.86 % Vampire exiting
%------------------------------------------------------------------------------